Effective Hamiltonian theory of the geometric evolution of quantum systems
PHYSICAL REVIEW A(2020)
摘要
In this work we present an effective Hamiltonian description of the quantum dynamics of a generalized Lambda system undergoing adiabatic evolution. We assume the system to be initialized in the dark subspace and show that its holonomic evolution can be viewed as a conventional Hamiltonian dynamics in an appropriately chosen extended Hilbert space. In contrast to the existing approaches, our method does not require the calculation of the non-Abelian Berry connection and can be applied without any parametrization of the dark subspace, which becomes a challenging problem with increasing system size.
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关键词
Hamiltonian Dynamics,Lagrangian Coherent Structures,Quantum Interpretations,Quantum Information,Quantum Heat Engines
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